Oscillation Definition and 740 Threads

Homework Statement An oscillating system of a block attached to a string where k = 400 at some time t has a position x of 0.1 m, velocity of -13.6 m/s, and accel. of -123 m/s^2. Find the amplitude of the motion. Do not use energy. Homework Equations x = Acos(wt + phi) v = -Awsin(wt +...

Homework Statement A pendulum length l is suspended inside a railroad car. The railroad car is oscillating so that its suspension has position xs = A cos (ωt) and ys= 0. Use the angle \varphi as the generalized coordinate and write down the equations that give the Cartesian coordinates of the...

Trust me this is not homework... My last two questions were removed cause they looked like homework... I understand its the forum policy... From now on I will post the 'seemingly homework' on the homework sections... Suppose,there's a rod of mass m1 hanging from a point... And a mass m2 is...

Homework Statement A massless spring hangs from the ceiling with a small object attached to its lower end. The object is initially held at rest in a position yi such that the spring is at its rest length. The object is then released from yi and oscillates up and down, with its lowest position...

This isn't actually a homework or coursework problem, but the style of the question is similar so I'm posting it here. Anyways, here goes. Consider a string of length L clamped at both ends, with one end at x=0 and the other at x=L. The displacement of the oscillating string can be described by...

Homework Statement A pendulum consists of point mass Mo swinging on a massless string of length Lo, with period To = 7.23 s on the surface of the Earth (at RE, the radius of the Earth). Find T1, the period of the same pendulum if it swings on a horizontal platform of height H = 2.23RE...

Homework Statement [B] Problem: A clown of mass M = 76.8 kg jumps off a tower at height H = 17.9 m above a net that is stretched horizontally. The net acts like a spring with spring constant k = 16900 N/m. How far will the net stretch before the clown comes instantaneously to rest...

Hello everyone! We have built the following model with Automation Studio. It's a simple electropneumatic system with a 4/3 valve and a piston. I would like to eliminate the oscillation of the piston with a PID controller. Does anyone know how to do it? Thanks

I took a picture of the question to help. I know that the moment of inertia for a rod (at one end, not the center) is: 1/3ML^2 And I know that the period of oscillation is: T=2∏√(L/g) But I don't know how to relate them... I tried doing Torque=Iα=Fdcosθ and solve in terms of...

Homework Statement Two equal masses (m) are constrained to move without friction, one on the positive x-axis and one on the positive y axis. They are attached to two identical springs (force constant k) whose other ends are attached to the origin. In addition, the two masses are connected to...

In the figure below, a damped simple harmonic oscillator has mass m = 300 g, k = 95 N/m, and b = 70 g/s. Assume all other components have negligible mass. What is the ratio of the amplitude of the damped oscillations to the initial amplitude at the end of 20 cycles (Adamped / Ainitial)? I...

Determine the forced oscillation of a system under a force F(t) = at, if at time t = 0, the system is at rest in equilibrium (x = x' = 0) 2. Equation of motion: x" + ω²x = at 3. I've found the particular solution, but i just can't find the coeficients of the homogeneous solution (...

i would like to ask a few questions about Neutrino oscillation 1) How can i calculate/obtain the mass eigenstates and weak eigenstates of neutrino if we can get those, then how come we cannot obtain the mass eigenvalues. 2) why we know the relation between mass eigenstates and weak...

Given \epsilon > 0 , suppose \omega_f(x) < \epsilon for each x \in [a,b] . Then show there is \delta > 0 such that for every closed interval I \in [a,b] with l(I)< \delta we have \omega_f(I) < \epsilon . My first approach to this was trying to think of it as an anaglous to the definition...

Homework Statement What are the natural frequencies (not wavelengths) of oscillation formed in a pipe that is open at both ends and a pipe open at one end and closed at the other? Homework Equations The Attempt at a Solution I don't understand this. I keep reading something about 2L and 4L.

Homework Statement Consider the two “gigantic” simple pendulums with identical masses but with different lengths as shown below. Suppose they are released from rest from position A at the same time as shown. So you understand that they will not oscillate in harmony since they will have...

Homework Statement How much resistance must be added to a pure LC circuit (L = 340 mH, C = 2200 pF) to change the oscillator's frequency by 0.10 percent? Will the frequency be increased or decreased? Homework Equations I'm assuming critical damping: R^2=4L/C...

I have a question: Excuse me if this has been answered on here. Neutrino's are said to travel at the speed of light. As we know anything with mass cannot travel at c. We have also observed neutrino "influxes" at the same time we observe a super nova, which means that neutrino's and photons...

The function for simple harmonic oscillation is: Acos(ωT)+\phi Why is there an angle phi added to the function acos(ωT)?

Homework Statement A pendulum with the length L is suspended by a inclined wall at an β angle.The pendulum is deviated with an angle of 2*β and then set free.Determine the oscillation period(T) of the pendulum considering that all the clashes are perfectly elastic. Homework Equations...

Homework Statement An 85-kg person steps into an experimental car of mass 300 kg, causing it to sink 4.5 cm on its springs. If started into vertical oscillation, and assuming no damping, at what frequency will the car and passenger vibrate on these springs. Homework Equations ω=√k/m...

Bear with me (Two part question), In the ideal case, an electron in a lattice under the influece of a static force will undergo bloch oscillations. A simple hamiltonian for this system would be: H=H° +Fx and V(x+d)=V(x) If I used the kronig-Penney Model would I be able to derive...

Is neural oscillation the only method in which we can analyze and communicate with the brain?

Hello all, Many Physics texts simply say that atoms "vibrate" when heat energy is transfer to a metal bar when it is heated. Or that molecules vibrate as the result of heat transfer. I'm trying to understand what makes an atom or molecule "move" or oscillate when energy is given to it. If I...

1. In the figure below, a book is suspended at one corner so that it can swing like a pendulum parallel to its plane. The edge lengths along the book face are 28 cm and 19 cm. If the angle through which it swings is only a few degrees, what is the period of the motion? 2. I=(ML^2)/12...

Have you guys heard of wind belts? How would you model the oscillation of the actual belt?

For a general family of dynamic models, xk+1=f(xk), oscillation can occur; for example, the function xk+1=xn2-1 experiences oscillation under the starting value 0: (x2=x12-1=x2=02-1→x2=-1→x3=x22-1=x3=-12-1→x3=0) This type of oscillation must be capable of detection before actually pluggin...

In this problem I guess I would first need to model the position of the cylinder with an equation and from that solve for the natural frequency. But how do I go about doing this when the object's default position is stationary?

Homework Statement Consider a quartic potential, i.e. V(x) \equiv ax^4 + bx^3 + cx^2 + dx + e s.t. there are two local minimums for the potential. For a given particle with energy E, prove that the period of oscillation around the two minimums are the same. Homework Equations dt \equiv...

-deleted sorry- -DELETED SORRY- Realized this is probably not the best place to post this type of question

Hallo, I tried to use 'finite difference' method to solve a Initial Value Problem(IVP). For the two boundaries I used periodical condtion and for the differential operators I used 4th degree center approximations. But as result, I got this thing. Where comes this strange oscillation What do you...

Homework Statement It's attached. The problem and solution are given. Homework Equations The Attempt at a Solution I circled a part of the image in red. Is this substitution supposed to be an approximation? I was thinking it was because one is referring to angular motion, so...

d2x + 2Kdx + w0 2 x(t) = 0 dt dt while solving this we assume the solution to be of form x = f(t)e-kt why is this exponential taken?

To my knowledge I assume: Newton's second law of motion : F = ma = mx'' Hooke's Law F = ks where s is the distance displaced by the mass. When a mass is attached to the spring, the new spring force is: F = k(s+x) While the downward force is still: mg If the two forces...

A mass of 361 grams is hung from the bottom of a vertical spring and the spring stretches 64.3 cm. The hanging mass is removed, and the spring is placed horizontally on a frictionless table. One end of the spring is held fixed and the other end is attached to a 649 gm mass. The 649 gm mass is...

Homework Statement In attached figure, a closed tube is placed near a string that is fixed at one end and has a weight attached to its other end. When bridges A and B are positioned at the points shown,plucking the string between A and B causes the tube to resonate at its fundamental...

If I'm not mistaken, measuring the \delta_{CP} from the PMNS matrix may be done by comparing P(\nu_{\alpha} \rightarrow \nu_{\beta}) to P(\overline{\nu_{\alpha}} \rightarrow \overline{\nu_{\beta}}) , where P(\nu_{\alpha} \rightarrow \nu_{\beta}) - P(\overline{\nu_{\beta}} \rightarrow...

Does changing the angular frequency change the amplitude of a forced oscillation? If so, I don't understand how that can be. I guess that the angular frequency is based only on the springs and dampers? So assuming those are the same then the angular frequency will always be the same? Are...

Homework Statement See attachment Homework Equations The Attempt at a Solution Ok so as the bridge is at a point ABOVE eqm acceleration is DOWN and at some point ACC down is greater than gravity acceleration. This is all true but makes no sense to logically. How could the car...

Homework Statement Two identical rollers are mounted with their axes parallel, in a horizontal plane, a distance 2d = 26.5 cm apart. The two rollers are rotating inwardly at the top with the same angular speed (w). A long uniform board is laid across them in a direction perpendicular to their...

In oscillation experiments that use solar neutrinos, it seems that the mixing angle \theta_{12} and the mass squared difference \Delta m_{12}^2 can be determined from comparing measurements of the neutrino flux to theoretical models of what the Sun should be emitting. However, I am...

Homework Statement This is the exact problem: http://hyperphysics.phy-astr.gsu.edu/hbase/mechanics/earthole.html However, they assume that the Earth has a uniform density. I know how the density of the Earth varies with the distance from the center of the Earth. I also know the...

Q: Two masses m are connected by identical springs of constants k and they lie on a perfectly smooth surface. The extremity of one spring is fixed on the wall, the other one is loose. Find the equations for the motion of the system. Find the frequencies of oscillations. 1. Relevant equations...

How do you calculate the moment of inertia given frequency of oscillation?

Homework Statement You stick two blocks together with Velcro. The manufacturer rated the Velcro as needing a force of 50N to separate the side you are using when applied to solid surfaces. You set up the connected blocks so that the top one is attached to the end of a vertical spring. The...

Q: Suppose that the oscillation ω_f (x) of a function f is smaller than η at each point x of an interval [c,d]. Show that there must be a partition π of [c,d] s.t. the oscillation ωf([x_(k-1),x_k ])<η on each member of the partition. My solution (Rough sketch): This condition on x is...

In neutrino oscillation the probability a neutrino changing its flavour depends on the difference between the squares of the masses of the neutrino mass eigenstates. For example, the squared-mass difference between the mass states \nu_{1} and \nu_{2} is denoted \Delta m^2_{12} . However, I...

Homework Statement In the attachment! The Attempt at a Solution My big hangup in this situation is why T, the period, of the oscillation doesn't change? If you increase the displacement by 2A does this mean that since the force acting on the spring also increases proportionally there's...

Just a quick question about notation really here. In neutrino oscillation we can calculate a probability of an oscillation occurring between two flavour eigenstates - invariably denoted P(\nu_{\alpha} \rightarrow \nu_{\beta}) . I've got some confusion about what happens to this when we apply...

Homework Statement Hi! My question is about oscillation. The multiple choice answers and question is included in the picture attached! I also happen to know the answer is A by looking at the marscheme. The Attempt at a Solution I would've thought that since the ball is said to be held...